On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

G. P. Galdi, J. G. Heywood, Y. Shibata

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27 Citations (Scopus)

Abstract

A new approach to the existence theory for the Navier-Stokes equations, using a technique of KATO [15], further developed in combination with estimates for Oseen's equation by KOBAYASHI & SHIBATA [17] and SHIBATA [24], has made possible the solution of a long-standing open problem often referred to as Finn's "starting problem". This paper provides the solution.

Original languageEnglish
Pages (from-to)307-318
Number of pages12
JournalArchive for Rational Mechanics and Analysis
Volume138
Issue number4
DOIs
Publication statusPublished - 1997 Aug 18

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ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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